Engineering Materials Engineering vs Biomaterials Engineering

I am currently enrolled in a Materials Engineering course, but I recently found out that I might be allowed to switch to Biomaterials Engineering, which sounds a bit more appealing to me, since, at the moment, I am interested in a career in the pharmaceutical sector.

However, I am worried that, by making such a change, I would be narrowing my graduate prospects. Would I still be able to apply for general materials science jobs? Also, would the new major enable me to apply to biochemistry/bioengineering jobs? Lastly, is a more general major a better idea if I plan on going to graduate school?

If I were looking at candidates, a biomaterials program would probably be close enough to materials engineering for many, although not for all purposes. This is to say, I wouldn't skip your resume just for that. Others may see this differently.